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Lemur [1.5K]
3 years ago
14

Select the equation that most accurately depicts the word problem. One-half of a certain number is 95. 1/2 - n = 95 1/2 + n = 95

1/2 • n = 95 1/2 ÷ n = 95
Mathematics
2 answers:
Sati [7]3 years ago
7 0
1/2 x n = 95 would be the answer.
GuDViN [60]3 years ago
7 0
Yea i agree it would be 1/2 x n=95
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How do you prove the two triangles congruent?
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1.SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
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Identify horizontal or vertical compression stretch of the function g(x) = 6x
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As an estimation we are told £3 is €4.<br> Convert €52 to pounds.
kati45 [8]

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7 0
3 years ago
In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
scoundrel [369]

Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4

From the above we know the value of each sides of ∆JKL

Find attached the diagram of the above triangle (1)

∆JKL is dilated by a scale factor = 2

Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

Opposite = 2(3) = 6

Adjacent = 2(4) = 8

Hypotenuse = 2(5) = 10

To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

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Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

6 0
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